Lecture

High Order Methods: Space Discretisation

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In course

MATH-351: Advanced numerical analysis II

The student will learn state-of-the-art algorithms for solving differential equations. The analysis and implementation of these algorithms will be discussed in some detail. ...

Description

This lecture covers high order methods for space discretisation in linear differential systems, focusing on time discretisation. It explains the Crank Nicolson method, stability analysis, and numerical diffusion. The instructor discusses the transport equation, wave equation, and different types of equations. The lecture emphasizes the importance of stability and accuracy in numerical methods.

Instructor

Marco Picasso

Expertise Computational Science and Engineering Mission I am teaching analysis and numerical analysis for engineers and mathematicians at bachelor and master levels.My research pertains to the numerical simulation of complex physical systems with partial differential equations.Here is some bibliometry: Google Scholar, Research Gate, Orcid, here is my most recent CV. Ongoing research projects: - Numerical simulation of aluminium electrolysis, collaboration with RioTinto LRF lab, Ycoorsystems SA and Jacques

Official source

Ontological neighbourhood

Mathematics

Analysis: Numerical analysis

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